FDMAT 108 (Mathematical Tools for the Real World)Exam Review Sheet (50 pts.)Unit IV Descriptive and Inferential Statistics5A Fundamentals of Statistics5BShould You Believe a Statistical Study?5CStatistical Tables and Graphs5DGraphics in the Media5ECorrelation and Causality6ACharacterizing Data6BMeasures of Variation6CThe Normal Distribution6DStatistical InferenceObjectives________________________________________________________________________________________Discuss coherently the potential for abuse and misuse of statistics in the media, industry, and education.Be able to (at a very modest level of ability) discuss validity of statistical studies quoted in the news.Describe the abuse of statistical graphs typically found in the media.Describe the role of randomness, placebos, single and double-blinded studies, control vs. experimental groups.Point out the differences between quantitative and qualitative variables.Point out the difference between correlation and causation and how this impacts our statistical literacy.Calculate and interpret the mean, median, and mode.Calculate the range and standard deviation of a data set.Show how to use the range rule of thumb as a means of estimating a standard deviation.Calculate and interpret the five-number summary, z-scores, percentiles, and outliers of data.Construct histograms, box plots, pie charts, and scatter plots and demonstrate their pros and cons.Identify normal, bi-modal, uniform, and positively and negatively-skewed distributions.Appropriately apply the 68-95-99.7 Rule to both sample and population contexts.Describe in a general way, the role of hypotheses, margin of error, and statistical inference.Discuss the difference between the null and alternative hypotheses.Calculate the margin of error for proportional data and construct a 95% confidence interval.Show rudimentary understanding of statistical significance and its role in a statistical study.Key Terms________________________________________________________________________________________statistics (science vs. data), population parameters, bias, blinding, margin of error, confidence intervalselection vs. participation bias, quantitative vs. qualitative variablesfrequency table, histogram, bar chart, pie chart, line chart, scatter plot, time-series plotcorrelation, causation, distribution, mean, median, mode, range, outlier, skewed distributions, variationstandard deviation, quartiles, 5-number summary, percentile, normal distribution, range rule of thumb, z-score68-95-99.7 rule, statistical significance, confidence interval, margin of error, hypothesis test (null vs. alternative)Directions_________________________________________________________________________________________
Complete the following problems during this unit in a disciplined and self-paced way. Take notes as we discuss similar parallel problems in class. Feel free to discuss your solutions with your team members, along the way, in order to optimizeyour score.